Math 1342 Statistics Information

Catalog DescriptionCollection, analysis, presentation and interpretation of data, and probability. Analysis includes descriptive statistics, correlation and regression, confidence intervals and hypothesis testing. Use of appropriate technology is recommended.

Course Learning Outcomes

The student will:

• Explain the use of data collection and statistics as tools to reach reasonable conclusions.
• Recognize, examine and interpret the basic principles of describing and presenting data.
• Compute and interpret empirical and theoretical probabilities using the rules of probabilities and combinatorics.
• Explain the role of probability in statistics.
• Apply the Central Limit Theorem to the sampling process.
• Examine, analyze and compare various sampling distributions for both discrete and continuous random variables.
• Describe and compute confidence intervals.
• Solve linear regression and correlation problems.
• Perform hypothesis testing using statistical methods.

PrerequisitesMATH 0308 or 0309 OR placement by testing;
College level readiness in reading and writing

Required Materials

Textbook for Most Sections: Sullivan, Michael III, Fundamentals of Statistics: Informed Decisions Using Data, 4th ed. with MyStatLab Access, Pearson Publishing, 2014, Required: Students must buy an access code to MyStatLab, an online course management system which includes a complete eBook; students will first need a Course ID provided by the instructor in order to register; online purchase of MyStatLab access at www.myStatLab.com; hard copies of access codes available with ISBN: 9780321694645Hardbound Text (optional), ISBN: 9780321838704 Hardbound Text + free MyMathLab access, ISBN: 9780321876225

Calculator:

Graphing Calculators may be required for some assignments/assessments at the discretion of the instructor. TI 83, TI 84 or TI 86 series calculators recommended.
Calculators capable of symbolic manipulation will not be allowed on tests. Examples include, but are not limited to, TI 89, TI 92, and Nspire CAS models and HP 48 models.
Neither cell phones nor PDA’s can be used as calculators. Calculators may be cleared before tests.

Textbook Sections

Chapter 1. Data Collection

1.1 Introduction to the Practice of Statistics

1.2 Observational Studies versus Designed Experiments

1.3 Simple Random Sampling

1.4 Other Effective Sampling Methods

1.5 Bias in Sampling

1.6 The Design of Experiments

Chapter 2. Descriptive Statistics

2.1 Organizing Qualitative Data

2.2 Organizing Quantitative Data: The Popular Displays

2.3 Graphical Misrepresentation of Data

Chapter 3. Numerically Summarizing Data

3.1 Measures of Central Tendency

3.2 Measures of Dispersion

3.4 Measures of Position and Outliers

3.5 The Five Number Summary and Boxplots

Chapter 4. Describing the Relation Between Two Variables

4.1 Scatter Diagrams and Correlation

4.2 Least Squares Regression

Chapter 5. Probability

5.1 Probability Rules

5.2 The Addition Rule and Complements

5.3 Independence and the Multiplication Rule

Chapter 6. Discrete Probability Distributions

6.1 Discrete Random Variables

6.2 The Binomial Probability Distribution

Chapter 7. The Normal Probability Distribution

7.1 Properties of the Normal Distribution

7.2 Applications of the Normal Distribution

7.3 Assessing Normality

Chapter 8. Sampling Distributions

8.1 Distribution of the Sample Mean

8.2 Distribution of the Sample Proportion

Chapter 9. Estimating the Value of a Parameter

9.1 Estimating a Population Proportion

9.2 Estimating a Population Mean

9.3 Putting it All Together: Which Procedure Do I Use?

Chapter 10. Hypothesis Tests Regarding a Parameter

10.1 The Language of Hypothesis Testing

10.2 Hypothesis Tests for a Population Proportion

10.3 Hypothesis Tests for a Population Mean

10.4 Putting it All Together: Which Method Do I Use?

Chapter 11. Inference on Two Samples(Cover a Selection of Topics from this Chapter as Time Permits)